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Finding the Fourth Proportional to 6,437.76, 9,641.28 and 3,696

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Solution

The fourth proportional to 6,437.76, 9,641.28 and 3,696 is: 5,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.76 : 9,641.28 = 3,696 : x
  2. Step 2: Convert to fraction form
    6,437.76/9,641.28 = 3,696/x
  3. Step 3: Cross multiply
    6,437.76x = 9,641.28 × 3,696
  4. Step 4: Simplify right side
    6,437.76x = 35,634,170.88
  5. Step 5: Solve for x
    x = 35,634,170.88/6,437.76
  6. Step 6: Final answer
    x = 5,535.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.